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Finding the Fourth Proportional to 76,422.51, 105,475.62 and 44,591.34

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Solution

The fourth proportional to 76,422.51, 105,475.62 and 44,591.34 is: 61,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.51 : 105,475.62 = 44,591.34 : x
  2. Step 2: Convert to fraction form
    76,422.51/105,475.62 = 44,591.34/x
  3. Step 3: Cross multiply
    76,422.51x = 105,475.62 × 44,591.34
  4. Step 4: Simplify right side
    76,422.51x = 4,703,299,233.13
  5. Step 5: Solve for x
    x = 4,703,299,233.13/76,422.51
  6. Step 6: Final answer
    x = 61,543.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.